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Finding the Third Proportional to 20,540 and 44,911

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Solution

The third proportional to 20,540 and 44,911 is: 98,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540 : 44,911 = 44,911 : x
  2. Step 2: Convert to fraction form
    20,540/44,911 = 44,911/x
  3. Step 3: Cross multiply
    20,540x = 44,911 × 44,911
  4. Step 4: Simplify right side
    20,540x = 2,016,997,921
  5. Step 5: Solve for x
    x = 2,016,997,921/20,540
  6. Step 6: Final answer
    x = 98,198.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.